Alg2 lesson 10-1
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The document discusses exponential functions of the form y=ab^x. Exponential growth occurs when b>1 and exponential decay occurs when 0<b<1. It provides examples of graphs and equations that represent exponential growth and decay, and asks the reader to identify which is which and simplify and solve example equations.
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Alg2 lesson 10-1
- 1. An exponential function has the form y = a (b)x Exponential growth: b > 1 Exponential decay: 0 < b < 1
- 2. Sketch the graph of . Then state the function’s domain and range. x –2 –1 0 1 1 4 2 16 Domain: all real numbers Exponential Growth Range: all positive numbers
- 3. Graph x (0.7)x –2 2.04 –1 1.43 0 1 1 0.7 2 0.49 Exponential decay
- 4. Determine whether each function represents exponential growth or decay. a. Answer: exponential decay b. Answer: exponential growth c. Answer: exponential decay
- 5. Simplify . Simplify .
- 6. Solve
- 7. Solve